I have prepared Classic Briam and I place a piece of parchment (papoillte paper) on a sheet pan and sprinkle the veggies on top with salt, black peppercorns grinded, Fresh basil leaves and a drizzle of Greek Evoo. I bake with balsamic vinegar for 30 minutes at 160 C degrees.
I use baguette or toasted in oven Pita from the Moroccan bakery.
Looks great !!! Really nice light dinner or tapa … (mezze) …
I use courgette or zucchine, red bell, green horn bells, red ripe tomatoes, aubergine, spring onion or leek and home made tomato sauce (simple marinara) with fresh tomato.
I have made with potato too but for summer, I keep it light.
I like your idea of the Feta on top !!!
Have a nice weekend.